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Mathematics 9 Online
OpenStudy (caozeyuan):

Homework due in 30 min!!!! Verify Green theorem by computing both the line integral and the double integral

OpenStudy (caozeyuan):

\[\int\limits_{c}^{?}2x-x ^{3}y ^{5}dx+x ^{3}y ^{6}dy\] on the ellipse\[4x ^{2}+y ^{2}=4\]

OpenStudy (caozeyuan):

my line integral is 7pi while double inegral is 10 times. What's going on?

OpenStudy (caozeyuan):

my bad, the dy term should be x^3*y*8

OpenStudy (caozeyuan):

Why my ans are so diff?

OpenStudy (caozeyuan):

@eliassaab any idea?

OpenStudy (anonymous):

What was your answer for the line integral?

OpenStudy (caozeyuan):

7pi

OpenStudy (anonymous):

I got 3pi

OpenStudy (caozeyuan):

I am pretty sure I did everything right

OpenStudy (caozeyuan):

do you change the 6 to 8, that's my typo, should be 8

OpenStudy (anonymous):

with 6 changed to 8, I get 7 pi

OpenStudy (anonymous):

I have not done the double integral yet

OpenStudy (caozeyuan):

Yes, I am going to class in 10 min , so can you get faster, not much time left

OpenStudy (anonymous):

I also got 7 pi for the double integral. Did not do the integral by hand. I did it with Mathematica

OpenStudy (caozeyuan):

what is your integrand and limits?

OpenStudy (caozeyuan):

I have 3x^2*y^8+5x^3*y^4

OpenStudy (caozeyuan):

x from -1 to 1 and y from -2 to 2

OpenStudy (anonymous):

y from - -Sqrt[4 - 4 x^2] to Sqrt[4 - 4 x^2]

OpenStudy (anonymous):

only one -

OpenStudy (caozeyuan):

yes,I realized hat too

OpenStudy (anonymous):

and x from -1 ro 1

OpenStudy (caozeyuan):

ok thx

OpenStudy (anonymous):

YW

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